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Finding the Fourth Proportional to 513,036.49, 765,797.71 and 452,435.94

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Solution

The fourth proportional to 513,036.49, 765,797.71 and 452,435.94 is: 675,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,036.49 : 765,797.71 = 452,435.94 : x
  2. Step 2: Convert to fraction form
    513,036.49/765,797.71 = 452,435.94/x
  3. Step 3: Cross multiply
    513,036.49x = 765,797.71 × 452,435.94
  4. Step 4: Simplify right side
    513,036.49x = 346,474,406,773.70
  5. Step 5: Solve for x
    x = 346,474,406,773.70/513,036.49
  6. Step 6: Final answer
    x = 675,340.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.